List questions from self-adjoint-operators

95

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Why the operator $T$ is positive and self-adjoint, which $(T(t)f)=\sum_{n=0}^{\infty}(n+1)^{-t}c_{n}z^n$?

Published on 20 Mar 2026 - 4:33

246

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Express in terms of $E$ a self-adjoint operator $T$ such that $T^2 = I+E$

Published on 20 Mar 2026 - 4:33

365

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Showing $(1-x^2)u''-xu'+9u=x^3$ is formally self-adjoint

Published on 20 Mar 2026 - 4:34

256

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Adjoint relation: transpose or conjugate transpose?

Published on 20 Mar 2026 - 4:31

121

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Dimension of the null space of a compact perturbation of a self-adjoint operator

Published on 20 Mar 2026 - 4:34

266

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Proof of a linear algebra lemma for Cohn-Vossen's theorem

Published on 20 Mar 2026 - 4:34

368

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Fredholm Alternative for Singular ODE

Published on 20 Mar 2026 - 4:33

407

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Let A be a self-adjoint, compact operator on a Hilbert space. Prove that there are positive operators P and N such that A = P − N and P N = 0.

Published on 20 Mar 2026 - 4:30

170

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Convergence of (unbounded) self-adjoint operators

Published on 20 Mar 2026 - 4:34

469

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Eigendecomposition of Self-Adjoint Operator with Non-Positive Inner Product

Published on 20 Mar 2026 - 4:33

50

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If $A+B\ge C$, can we find positive operators $A_1\le A$ and $B_1\le B$ such that $A_1+B_1=C$?

Published on 20 Mar 2026 - 6:29

698

Views

Find out if a operator is self-adjoint or orthogonal

Published on 12 Nov 2018 - 19:01

130

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Question about notation for rewriting integral of Laplace Beltrami operator

Published on 25 Mar 2026 - 4:40

772

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Normal operator with real spectrum is hermitian.

Published on 25 Mar 2026 - 4:38

33

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Is this statement still true with a weaker condition?

Published on 25 Mar 2026 - 4:36

List Question

Why the operator $T$ is positive and self-adjoint, which $(T(t)f)=\sum_{n=0}^{\infty}(n+1)^{-t}c_{n}z^n$?

Express in terms of $E$ a self-adjoint operator $T$ such that $T^2 = I+E$

Showing $(1-x^2)u''-xu'+9u=x^3$ is formally self-adjoint

Adjoint relation: transpose or conjugate transpose?

Dimension of the null space of a compact perturbation of a self-adjoint operator

Proof of a linear algebra lemma for Cohn-Vossen's theorem

Fredholm Alternative for Singular ODE

Let A be a self-adjoint, compact operator on a Hilbert space. Prove that there are positive operators P and N such that A = P − N and P N = 0.

Convergence of (unbounded) self-adjoint operators

Eigendecomposition of Self-Adjoint Operator with Non-Positive Inner Product

If $A+B\ge C$, can we find positive operators $A_1\le A$ and $B_1\le B$ such that $A_1+B_1=C$?

Find out if a operator is self-adjoint or orthogonal

Question about notation for rewriting integral of Laplace Beltrami operator

Normal operator with real spectrum is hermitian.

Is this statement still true with a weaker condition?

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